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Finding the Third Proportional to 510,604 and 715,517

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Solution

The third proportional to 510,604 and 715,517 is: 1,002,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,604 : 715,517 = 715,517 : x
  2. Step 2: Convert to fraction form
    510,604/715,517 = 715,517/x
  3. Step 3: Cross multiply
    510,604x = 715,517 × 715,517
  4. Step 4: Simplify right side
    510,604x = 511,964,577,289
  5. Step 5: Solve for x
    x = 511,964,577,289/510,604
  6. Step 6: Final answer
    x = 1,002,664.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.